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Teaching pack · Year 3 Algebraseegongsik /au

Times Tables and Their Division: a week of ready-to-teach maths

Five days of lessons for Year 3 Algebra. Print this pack and the week is prepared: each day has a one-page plan and a student worksheet, plus times-table cards, division cards, a mini-check and every answer.

AC9M3A03
recall and demonstrate proficiency with multiplication facts for 3, 4, 5 and 10; extend and apply facts to develop the related division facts

Start here: five minutes to Monday

  1. Skim the week at a glance on the next page.
  2. Print the five days. Each day is two A4 sheets: a plan and a worksheet.
  3. Cut out the times-table cards and the division cards once; they are reused all week.
  4. Open the free interactive unit on your board. Every plan tells you which picture to show and which buttons to press.
  5. Teach straight from the plan. Timings, talk prompts, misconceptions and answers are all on the one page.

No maths background needed

This pack is written for the busy generalist teacher. Year 3 learns the 3, 4, 5 and 10 times tables. Each table is a skip count of equal groups, and facts that do not come at once can be worked out from facts that do (4 × 7 is double 2 × 7). Every times fact also gives two division facts, because division is multiplication run backwards.

One day, one lesson

The five lessons fill a week of maths, one lesson of about 50 minutes a day. Run them in order: each day stands on the one before. Every plan marks a split point if your timetable runs two shorter sessions.

On the board
This pack is the printable half of a free interactive unit. The on-screen half has six interactive pictures (skip count the table, recall a fact, ten is a shift, flip to divide, division by a known fact, and the array holds four facts) plus a self-check quiz you can run as a class game on Day 5.
seegongsik.com/au/y3/algebra/AC9M3A03
Aligned to the Australian Curriculum V9 (AC9M3A03). This pack is original material from seegongsik, independently produced and not endorsed by ACARA. Curriculum content descriptors are (c) ACARA, licensed under CC BY 4.0. Free to print and use in class.
The week at a glance5 lessons

The week at a glance

One lesson a day for a week. Each day stands on the day before, so run them in order.

DayLessonChildren learn and doOn screen
1Skip count the tablesBuild the 3, 4, 5 and 10 tables by skip counting equal groups, and spot their patternsSkip count the table
2Recall a factRecall facts quickly, and work out a missing one from a fact you know (double, half, one more group)Recall a fact
3Ten is a shiftMultiply by ten and explain the shift, then halve a ten fact to find a five factTen is a shift
4Flip to divideTurn a times fact into its two divisions, and divide by finding the times fact that makes the totalFlip to divide; Division by a known fact
5The array holds four factsRead an array as two multiplications and two divisions, and use fact families in storiesThe array holds four facts

How the week builds

Days 1 to 3 build the four tables: skip counting first, then recall with helper facts, then the shift that makes the 10s (and the halving that makes the 5s). Day 4 flips every fact into division, and Day 5 shows a whole fact family in one array. It leans on Multiply and Divide (AC9M3N04) and Addition and Subtraction Undo Each Other (AC9M3A01).

Materials for the week (one trip)

Words for the word wall

times, multiply, skip count, equal groups, table, fact, double, half, place, shift, divide, share, group, array, row, column, fact family

A note homeHome practice

Dear families

This week in maths, Year 3 is learning the 3, 4, 5 and 10 times tables, and how each times fact also gives a division fact.

Try this at home

Our facts this week

Fill one row a day: a times fact, and the division it gives.

DayTimes factDivision it gives
Monday
Tuesday
Wednesday
Thursday
Friday

Printed from the free seegongsik Times Tables and Their Division teaching pack · seegongsik.com/au/y3/algebra/AC9M3A03/pack

Day 1 · Teacher planDay 1 of 5

Skip count the tables

Each times table is a skip count of equal groups: count in 3s and you build the 3 times table, 3, 6, 9, 12. Year 3 learns the 3, 4, 5 and 10 tables, and each one has a pattern that helps children remember it.

We are learning to

Success criteria

You need

Counters or cubes, a handful per pair. The worksheet, one per child.

Lesson flow (about 50 minutes)

10 minCount and clap
Count in 3s together, clapping on each number, then in 4s. Stop after five claps each time.

Ask: “Five claps counting in 3s reached 15. Which times fact is that?”

30 minBuild the tables
Build tables on the board (see the box). Children finish the four skip-count strips, then read facts from them and look for patterns.

Ask: “Look at the 4s: 4, 8, 12, 16. How are they like the 2s?”

10 minTable race
Pairs say one table aloud together to 10 groups while another pair checks it with counters.

Ask: “Which table was easiest to say? Why?”

Two half-sessions instead? Split after the 3s and 4s strips; start Session B with the 5s and 10s.

On the board
Show “Skip count the table”: the 3 times table. Press “Add a group” up to 10 groups, chanting each total (3, 6, 9 and on to 30); “Back” steps down. “New table” brings the 4, 5 and 10 tables.
seegongsik.com/au/y3/algebra/AC9M3A03

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Answers

Day 1 · Worksheet

Skip count the tables

NameClassDate

Finish each skip count

Count in 3s
3
6
Count in 4s
4
8
Count in 5s
5
10
Count in 10s
10
20

Read a fact from your skip count

6 groups of 3 = ______, so 6 × 3 = ______

7 groups of 4 = ______, so 7 × 4 = ______

9 groups of 5 = ______, so 9 × 5 = ______

8 groups of 10 = ______, so 8 × 10 = ______

4 groups of 3 = ______ and 3 groups of 4 = ______

Patterns

What do you notice about the last digits in the 5s? In the 10s?

Day 2 · Teacher planDay 2 of 5

Recall a fact

Fluency means knowing a fact quickly, and having a way to work it out when it does not come. 4 × 7 is double 2 × 7 (double 14 is 28); 5 × 8 is half of 10 × 8 (half of 80 is 40); 3 × 9 is 2 × 9 and one more 9 (18 + 9 = 27).

We are learning to

Success criteria

You need

The times-table cards (cut-out sheet 1), one set per pair. The worksheet, one per child.

Lesson flow (about 50 minutes)

10 minQuick fire
Flash times-table cards; the class writes answers on whiteboards. Pairs sort their cards into “know it” and “working on it”.

Ask: “Which facts came straight away? Which did you have to work out?”

30 minFacts from facts
Recall facts on the board (see the box). Children use the three helper moves on the worksheet, then do the quick-recall grid.

Ask: “You know 2 × 7 = 14. How does that give you 4 × 7?”

10 minCard pairs
Pairs quiz each other with the “working on it” pile, saying the helper fact aloud.

Ask: “Which helper fact did you use? Did it work every time?”

Two half-sessions instead? Split after the helper moves; start Session B with the quick-recall grid.

On the board
Show “Recall a fact”: 4 × 7. Ask for a helper fact, then take a vote and press the class’s choice of the three answers. “New fact” brings 5 × 8, 3 × 9 and 10 × 6.
seegongsik.com/au/y3/algebra/AC9M3A03

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Answers

Day 2 · Worksheet

Recall a fact

NameClassDate

Double double (the 4s)

Example: 4 × 7 = double 2 × 7 = double 14 = 28.

4 × 3 = double ______ = ______

4 × 6 = double ______ = ______

4 × 8 = double ______ = ______

4 × 9 = double ______ = ______

Half of ten (the 5s)

Example: 5 × 8 = half of 10 × 8 = half of 80 = 40.

5 × 6 = half of ______ = ______

5 × 7 = half of ______ = ______

5 × 9 = half of ______ = ______

5 × 4 = half of ______ = ______

One more group (the 3s)

Example: 3 × 9 = 2 × 9 + 9 = 18 + 9 = 27.

3 × 6 = ______ + ______ = ______

3 × 7 = ______ + ______ = ______

3 × 8 = ______ + ______ = ______

3 × 5 = ______ + ______ = ______

Quick recall

3 × 4 = ______5 × 5 = ______10 × 7 = ______4 × 5 = ______
3 × 10 = ______5 × 3 = ______4 × 4 = ______10 × 9 = ______
3 × 3 = ______5 × 10 = ______4 × 10 = ______3 × 2 = ______
Day 3 · Teacher planDay 3 of 5

Ten is a shift

Multiplying by ten moves each digit up one place, and a zero holds the ones: 7 × 10 = 70. The tens make the fives easy too, because 5 is half of 10: 5 × 7 is half of 10 × 7, so half of 70 is 35.

We are learning to

Success criteria

You need

A tens and ones chart for the board. Counters and base-ten blocks. The worksheet, one per child.

Lesson flow (about 50 minutes)

10 minTen groups
Make 10 groups of 3 counters, then swap them for 3 tens rods. Write 30 on the tens and ones chart.

Ask: “Where did the 3 go when we made ten groups? What sits in the ones?”

30 minShift it
Shift numbers on the board (see the box). Children fill the worksheet chart, halve ten facts, then hunt for the 5s and 10s.

Ask: “Is ‘add a zero’ the real reason? What happens to the 3?”

10 minHalf of ten
Call a 10s fact (10 × 8 = 80); the class calls the 5s fact (5 × 8 = 40).

Ask: “Why is 5 × 8 exactly half of 10 × 8?”

Two half-sessions instead? Split after the tens and ones chart; start Session B with Half of ten.

On the board
Show “Ten is a shift”: 3 × 10. Ask for the answer, then press “Multiply by ten” to see 30 and the shift. “New number” brings 7, 9 and 6; each time ask where the digit will go before the press.
seegongsik.com/au/y3/algebra/AC9M3A03

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Answers

Day 3 · Worksheet

Ten is a shift

NameClassDate

Times ten on the chart

Example: 7 × 10 = 70. The 7 moves into the tens; a 0 holds the ones.

MultiplyTensOnesAnswer
4 × 10
8 × 10
2 × 10
5 × 10
9 × 10

Half of ten

10 × 6 = ______, so 5 × 6 = ______

10 × 4 = ______, so 5 × 4 = ______

10 × 9 = ______, so 5 × 9 = ______

10 × 7 = ______, so 5 × 7 = ______

Fives and tens

Circle the numbers in the 5 times table. Put a box around the ones that are also in the 10 times table.

15
22
30
41
45
50
53
60
Day 4 · Teacher planDay 4 of 5

Flip to divide

Every times fact hands you two division facts: 4 × 7 = 28 gives 28 ÷ 4 = 7 and 28 ÷ 7 = 4. To divide, ask a times question: 20 ÷ 5 means 5 times what makes 20? 5 × 4 = 20, so the answer is 4.

We are learning to

Success criteria

You need

The times-table cards and the division cards (cut-out sheets 1 and 2), one set per pair. Counters. The worksheet.

Lesson flow (about 50 minutes)

10 minShare and check
Share 24 counters equally among 4 children. Then ask: 4 times what makes 24?

Ask: “Did sharing give the same answer as the times fact? Why?”

30 minFlip and find
Flip facts and find divisions on the board (see the box). Children flip the worksheet facts, divide with a times fact, then solve the two stories.

Ask: “To work out 35 ÷ 5, which times fact do you need?”

10 minMatch the cards
Pairs match each times-table card with the division card from the same fact family.

Ask: “How did you know 3 × 8 and 24 ÷ 3 belong together?”

Two half-sessions instead? Split after Flip to divide; start Session B with Division by a known fact.

On the board
Show “Flip to divide”: 3 × 4 = 12. Press “Make a division” (12 ÷ 3 = 4) and “And the other” (12 ÷ 4 = 3); “New fact” brings 4 × 7, 5 × 6 and 10 × 8. Then show “Division by a known fact”: 20 ÷ 5. The class chooses the fact that helps before you press; “New division” moves on.
seegongsik.com/au/y3/algebra/AC9M3A03

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Answers

Day 4 · Worksheet

Flip to divide

NameClassDate

Flip it

Example: 4 × 7 = 28, so 28 ÷ 4 = 7 and 28 ÷ 7 = 4.

3 × 6 = 18, so ______ ÷ ______ = ______ and ______ ÷ ______ = ______

4 × 5 = 20, so ______ ÷ ______ = ______ and ______ ÷ ______ = ______

5 × 9 = 45, so ______ ÷ ______ = ______ and ______ ÷ ______ = ______

10 × 7 = 70, so ______ ÷ ______ = ______ and ______ ÷ ______ = ______

4 × 8 = 32, so ______ ÷ ______ = ______ and ______ ÷ ______ = ______

Divide with a times fact

15 ÷ 3 = ____ because 3 × ____ = 15

36 ÷ 4 = ____ because 4 × ____ = 36

25 ÷ 5 = ____ because 5 × ____ = 25

60 ÷ 10 = ____ because 10 × ____ = 60

27 ÷ 3 = ____ because 3 × ____ = 27

40 ÷ 4 = ____ because 4 × ____ = 40

Stories

1. 28 apples are packed in bags of 4. How many bags? Number sentence: ______________

2. 35 stickers are shared equally among 5 friends. How many does each friend get? Number sentence: ______________

Day 5 · Teacher planDay 5 of 5

The array holds four facts

An array shows a whole fact family at once: 3 rows of 5 is 3 × 5 = 15, the columns give 5 × 3 = 15, and the same dots split into rows or columns give 15 ÷ 3 = 5 and 15 ÷ 5 = 3.

We are learning to

Success criteria

You need

An egg carton or a muffin tray, and counters. The worksheet, one per child. The unit’s self-check quiz.

Lesson flow (about 50 minutes)

10 minEgg carton
Hold up a carton with 2 rows of 6 eggs (or counters). Ask for every fact it shows.

Ask: “Which fact do you see in the rows? Which one in the columns?”

25 minFour facts
Reveal the divisions on the board (see the box). Children write the four facts for each worksheet array, then solve the three stories.

Ask: “This array has 4 rows. Which division uses the 4?”

15 minClass quiz
Run the self-check quiz as a team game: teams hold up one, two or three fingers for their choice.

Ask: “Which picture from this week would prove that answer?”

Two half-sessions instead? Split after the arrays; start Session B with the stories and the quiz.

On the board
Show “The array holds four facts”: 3 rows of 5, with 3 × 5 and 5 × 3. Ask for the two divisions, then press “Reveal the divisions”. “New array” brings 4 by 6, 5 by 4 and 10 by 3. Finish the week with the self-check quiz.
seegongsik.com/au/y3/algebra/AC9M3A03

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Answers

Day 5 · Worksheet

The array holds four facts

NameClassDate

Write the two multiplications and the two divisions each array shows.

1.
____ × ____ = ____    ____ × ____ = ____
____ ÷ ____ = ____    ____ ÷ ____ = ____
2.
____ × ____ = ____    ____ × ____ = ____
____ ÷ ____ = ____    ____ ÷ ____ = ____
3.
____ × ____ = ____    ____ × ____ = ____
____ ÷ ____ = ____    ____ ÷ ____ = ____
4.
____ × ____ = ____    ____ × ____ = ____
____ ÷ ____ = ____    ____ ÷ ____ = ____

Stories

1. There are 4 rows of chairs with 8 chairs in each row. How many chairs? ______________

2. 24 pencils are shared equally among 3 tables. How many for each table? ______________

3. 30 children stand in rows of 5. How many rows? ______________

Cut-out cards 1 of 2Times-table cards

Times-table cards

Cut out the twenty cards: five facts from each of the 3, 4, 5 and 10 tables. On Day 2, flash them for quick fire and sort them into “know it” and “working on it”.

3 × 4
3 × 6
3 × 7
3 × 8
3 × 9
4 × 3
4 × 6
4 × 7
4 × 8
4 × 9
5 × 4
5 × 6
5 × 7
5 × 8
5 × 9
10 × 3
10 × 6
10 × 7
10 × 8
10 × 9

Teacher note, the answers: 3 × 4 = 12, 3 × 6 = 18, 3 × 7 = 21, 3 × 8 = 24, 3 × 9 = 27, 4 × 3 = 12, 4 × 6 = 24, 4 × 7 = 28, 4 × 8 = 32, 4 × 9 = 36, 5 × 4 = 20, 5 × 6 = 30, 5 × 7 = 35, 5 × 8 = 40, 5 × 9 = 45, 10 × 3 = 30, 10 × 6 = 60, 10 × 7 = 70, 10 × 8 = 80, 10 × 9 = 90.

Cut-out cards 2 of 2Division cards

Division cards

Cut out the twenty cards. On Day 4, pairs lay out the times-table cards and place beside each one the division card from the same fact family, then say both facts aloud.

28 ÷ 4
45 ÷ 5
21 ÷ 3
90 ÷ 10
30 ÷ 5
12 ÷ 3
60 ÷ 10
12 ÷ 4
36 ÷ 4
40 ÷ 5
24 ÷ 3
80 ÷ 10
24 ÷ 4
35 ÷ 5
18 ÷ 3
70 ÷ 10
20 ÷ 5
27 ÷ 3
30 ÷ 10
32 ÷ 4

Teacher note, the matches: 3 × 4 with 12 ÷ 3 = 4, 3 × 6 with 18 ÷ 3 = 6, 3 × 7 with 21 ÷ 3 = 7, 3 × 8 with 24 ÷ 3 = 8, 3 × 9 with 27 ÷ 3 = 9, 4 × 3 with 12 ÷ 4 = 3, 4 × 6 with 24 ÷ 4 = 6, 4 × 7 with 28 ÷ 4 = 7, 4 × 8 with 32 ÷ 4 = 8, 4 × 9 with 36 ÷ 4 = 9, 5 × 4 with 20 ÷ 5 = 4, 5 × 6 with 30 ÷ 5 = 6, 5 × 7 with 35 ÷ 5 = 7, 5 × 8 with 40 ÷ 5 = 8, 5 × 9 with 45 ÷ 5 = 9, 10 × 3 with 30 ÷ 10 = 3, 10 × 6 with 60 ÷ 10 = 6, 10 × 7 with 70 ÷ 10 = 7, 10 × 8 with 80 ÷ 10 = 8, 10 × 9 with 90 ÷ 10 = 9.

Mini-check · End of the weekTimes Tables and Their Division

What we know: Times Tables and Their Division

NameClassDate

Work on your own.

  1. Skip count in 4s from 4 to 40: ______________________________________________
  2. 3 × 8 = ______    5 × 7 = ______    10 × 9 = ______    4 × 9 = ______
  3. You know 2 × 8 = 16. How does it help with 4 × 8? ______________ 4 × 8 = ______
  4. 6 × 10 = ______. What happened to the 6? ______________________________
  5. 10 × 7 = 70, so 5 × 7 = ______
  6. Write two divisions from 4 × 7 = 28: ______________ ______________
  7. 40 ÷ 5 = ______. Which times fact did you use? ______________
  8. Write the four facts this array shows: ______________________________________________
Mini-check · Answers and markingFor the teacher

Answers and marking guide

Answers

  1. 4, 8, 12, 16, 20, 24, 28, 32, 36, 40.
  2. 24; 35; 90; 36.
  3. Double it: double 16 is 32, so 4 × 8 = 32.
  4. 60. The 6 moved up into the tens place and a 0 holds the ones.
  5. 35 (half of 70).
  6. 28 ÷ 4 = 7 and 28 ÷ 7 = 4.
  7. 8, because 5 × 8 = 40.
  8. 3 × 6 = 18, 6 × 3 = 18, 18 ÷ 3 = 6, 18 ÷ 6 = 3.

A quick three-level guide

IdeaWorking towardsAt standardBeyond
Skip counting and recall (Q1, Q2)counts in ones between the multiplesskip counts in 3s, 4s, 5s and 10s and recalls most factsrecalls all four tables quickly and explains a pattern in them
Facts from facts (Q3, Q4, Q5)adds the two numbers instead of multiplyingdoubles for the 4s, halves the ten fact for the 5s, and explains the shift for the 10schooses a helper fact for any table
Division (Q6, Q7, Q8)divides the smaller number by the biggerwrites the divisions for a times fact and divides with a known factwrites a fact family from an array and uses it in a story

Eight questions, three ideas. A child at standard recalls most facts in the four tables, works out the rest from a helper fact, and flips a fact into its divisions.

Weekly recordClass checklist

Weekly class record

Jot a tick as you move around the room; the mini-check fills any gaps. A tick a day is plenty.

NameSkip countsRecalls factsTimes tenDividesFact families

The five columns are the five days: skip counting, recalling facts, multiplying by ten, dividing, and fact families from arrays.